Let there be light–to change the world we want to be! Over the past several decades, and
ever since the birth of the first laser, mankind has witnessed the development of the science …

Originating from the studies of two-dimensional condensed-matter states, the concept of
topological order has recently been expanded to other fields of physics and engineering …

The discovery of topological phases in non-Hermitian open classical and quantum systems
challenges our current understanding of topological order. Non-Hermitian systems exhibit …

Fractals are fascinating, not only for their aesthetic appeal but also for allowing the
investigation of physical properties in non-integer dimensions. In these unconventional …

Topological photonics is a rapidly emerging field of research in which geometrical and
topological ideas are exploited to design and control the behavior of light. Drawing …

Quantum states of quasiparticles in solids are dictated by symmetry. We have experimentally
demonstrated quantum states of Dirac electrons in a two-dimensional quasicrystal without …

Topological photonics is a new and rapidly growing field that deals with topological phases
and topological insulators for light. Recently, the scope of these systems was expanded …

Current understanding of higher-order topological insulators (HOTIs) is based primarily on
crystalline materials. Here, we propose that HOTIs can be realized in quasicrystals …

We present Floquet fractal topological insulators: photonic topological insulators in a fractal-
dimensional lattice consisting of helical waveguides. The helical modulation induces an …

We find topological band structures in photonic time crystals—materials in which the
refractive index varies periodically and abruptly in time. When the refractive index changes …